ing particle size upon anaerobic illumination has been alternatively interpreted on
the basis of the Burstein – Moss effect [59] , which is a consequence of the fact that
the Fermi level of electrons in particles is a function of the irradiation intensity.
However, at spectrophotometric light intensities normally used to record absorp-
tion spectra, the Burstein – Moss effect should be of little consequence.
In the fi eld of oxide catalysts, besides the case of the optical behavior of nano-
metric powders of TiO
2
(see ref. [54] and references therein), a typical manifesta-
tion of the Q - size effect is the blue - shift of the absorption edge exhibited by very
small three - dimensional particles formed by increasing the loading when semi-
conductor oxides (e.g. V
2
O
5
, MoO
3
, WO
3
, Fe
2
O
3
) dispersed on a support (SiO
2
,
TiO
2
, ZrO
2
, Al
2
O
3
) are prepared.
Higher levels of dispersion (usually obtained at lower loadings) result in the
formation of bidimensional patches and monodimensional ribbons of MO
x
(M =
metal) species, which can be recognized on the basis of a third feature of E
g
, that
is, its sensitivity to bonding geometry/structure of semiconductor species. A sys-
tematic experimental and theoretical study on polyoxometallates [60, 61] demon-
strates that the fundamental optical absorption strongly relates to the number of
nearest MO
x
polyhedral neighbors and the number of bonds between each of those
neighbors (corner - or edge - shared polyhedra). For instance, a larger fraction of
edge - sharing polyhedra relative to corner - sharing ones should result in a greater
molecular orbital overlap between such units, and thus a smaller E
g
because of
the more extensive sharing of electron density between polyhedra. Conversely, the
local symmetry around M
n +
centers in polymeric structures and the metal – oxygen
bond lengths were found to have less infl uence. On this basis, and by considering
appropriate reference materials (another key point in the elucidation of structure/
optical feature relationships [60] ), the determination of E
g
values from the optical
absorption edges can trace the evolution of the structure of supported species as
a function of loading. Furthermore, the trend obtained can be combined with that
exhibited by some functional aspect of interest, to elucidate structure/function
relationships, as performed in the case of WO
x
/ZrO
2
(Figure 2.10 ) [62, 63] and
VO
x
/ox (ox = SiO
2
, ZrO
2
, Al
2
O
3
) catalysts [64] .
The validity of the approach based on the evaluation of E
g
from spectroscopic
data disappears as the size of such MO
x
decreases towards the limit of isolated
species, as bands of energy are turned into discrete energy levels. Hence, the
optical behavior can be described in terms of localized charge - transfer transitions
involving molecular orbitals. This will be the subject of the next section.
2.3.5
Highly Dispersed Supported Oxo - Species and TMI
2.3.5.1 LMCT Transition Bands as Source of Structural Insight
Highly dispersed surface species, with the limiting form of single - site active
centers, play a primary role in a number of catalytic materials because of their
peculiar features in terms of activity and selectivity. Both oxo - species and transition
metal ions supported on oxides (or in zeotype materials) belonging to these types
2.3 UV-Vis-NIR Absorption Spectroscopy 69